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Finding the Fourth Proportional to 1,220.64, 1,684.07 and 689.46

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Solution

The fourth proportional to 1,220.64, 1,684.07 and 689.46 is: 951.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.64 : 1,684.07 = 689.46 : x
  2. Step 2: Convert to fraction form
    1,220.64/1,684.07 = 689.46/x
  3. Step 3: Cross multiply
    1,220.64x = 1,684.07 × 689.46
  4. Step 4: Simplify right side
    1,220.64x = 1,161,095.45
  5. Step 5: Solve for x
    x = 1,161,095.45/1,220.64
  6. Step 6: Final answer
    x = 951.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.